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444025968 = 24317951679
BaseRepresentation
bin11010011101110…
…100110001110000
31010221111212010020
4122131310301300
51402132312333
6112021003440
714001105231
oct3235646160
91127455106
10444025968
11208706311
12104853580
1370cb7779
1442d85088
1528ead3b3
hex1a774c70

444025968 has 40 divisors (see below), whose sum is σ = 1153497600. Its totient is φ = 147178944.

The previous prime is 444025961. The next prime is 444025969. The reversal of 444025968 is 869520444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444025961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17248 + ... + 34431.

It is an arithmetic number, because the mean of its divisors is an integer number (28837440).

Almost surely, 2444025968 is an apocalyptic number.

444025968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

444025968 is an abundant number, since it is smaller than the sum of its proper divisors (709471632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444025968 is a wasteful number, since it uses less digits than its factorization.

444025968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51869 (or 51863 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 444025968 is about 21071.9236900668. The cubic root of 444025968 is about 762.9032351820.

The spelling of 444025968 in words is "four hundred forty-four million, twenty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 179 358 537 716 1074 1432 2148 2864 4296 8592 51679 103358 155037 206716 310074 413432 620148 826864 1240296 2480592 9250541 18501082 27751623 37002164 55503246 74004328 111006492 148008656 222012984 444025968